28365264 has 60 divisors (see below), whose sum is σ = 79779492. Its totient is φ = 9408000.

The previous prime is 28365263. The next prime is 28365283. The reversal of 28365264 is 46256382.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 6350400 = 4692^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28365263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40114 + ... + 40814.

Almost surely, 2^28365264 is an apocalyptic number.

28365264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28365264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889746).

28365264 is an abundant number, since it is smaller than the sum of its proper divisors (51414228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28365264 is a wasteful number, since it uses less digits than its factorization.

28365264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 987 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 28365264 is about 5325.9049935199. The cubic root of 28365264 is about 304.9736212965.

It can be divided in two parts, 2836 and 5264, that added together give a square (8100 = 90²).

The spelling of 28365264 in words is "twenty-eight million, three hundred sixty-five thousand, two hundred sixty-four".